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Finding the Fourth Proportional to 11,689.57, 17,528.68 and 3,895.75

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Solution

The fourth proportional to 11,689.57, 17,528.68 and 3,895.75 is: 5,841.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.57 : 17,528.68 = 3,895.75 : x
  2. Step 2: Convert to fraction form
    11,689.57/17,528.68 = 3,895.75/x
  3. Step 3: Cross multiply
    11,689.57x = 17,528.68 × 3,895.75
  4. Step 4: Simplify right side
    11,689.57x = 68,287,355.11
  5. Step 5: Solve for x
    x = 68,287,355.11/11,689.57
  6. Step 6: Final answer
    x = 5,841.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.